634631504 has 120 divisors (see below), whose sum is σ = 1407267072. Its totient is φ = 276756480.

The previous prime is 634631489. The next prime is 634631509. The reversal of 634631504 is 405136436.

634631504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634631509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5616152 + ... + 5616264.

Almost surely, 2^634631504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634631504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703633536).

634631504 is an abundant number, since it is smaller than the sum of its proper divisors (772635568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

634631504 is a wasteful number, since it uses less digits than its factorization.

634631504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 634631504 is about 25191.8936167967. The cubic root of 634631504 is about 859.3575082262.

The spelling of 634631504 in words is "six hundred thirty-four million, six hundred thirty-one thousand, five hundred four".